Fraction retained per minute
when all pipes are opened
= $\frac{1}{5} + \frac{1}{3} - \frac{4}{15}$
= $\frac{3 + 5 - 4}{15}$ = $\frac{4}{15}$
Fraction retained for
1$\frac{1}{2}$ minutes = $\frac{4}{15} \times \frac{3}{2}$
= $\frac{2}{5}$
Fraction to be filled
= 1 - $\frac{2}{5} = \frac{3}{5}$
Fraction added by hot and cold water tap
= $\frac{1}{5} + \frac{1}{3} = \frac{8}{15}$
Therefore to fill the bath it will take
$\frac{15}{8} \times \frac{3}{5} = \frac{9}{8}$ = 1$\frac{1}{8}$ minutes
johnmulu answered the question on March 6, 2017 at 08:09
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